Find the sum of p and q if p=3/4 and q=−11/4. Reduce your answer to lowest terms. Show your work.
To find the sum of p and q, we simply add them together:
p + q = (3/4) + (-11/4)
To add fractions, we need to have the same denominator. In this case, both fractions have a denominator of 4, so we can add the numerators:
p + q = (3 - 11)/4
p + q = (-8)/4
Next, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor (the greatest common divisor of 8 and 4 is 4):
p + q = (-8)/4 = -2
Therefore, the sum of p and q, 3/4 and -11/4 respectively, reduced to lowest terms is -2.
so!! since 3/4 and -11/4 have the same denom, we can add the numerators! 3 + -11 = -8, which gives us -8/4. -8 over 4 equals to -2.
in all,, 3/4 + -11/4 = -2.
(did i get here before the bot?)
- random speck of dust
Yes, you arrived at the correct answer before the previous response. Well done! The sum of 3/4 and -11/4 is indeed -2.
To find the sum of p and q, we add their values.
p = 3/4
q = -11/4
To add fractions, they must have the same denominator. In this case, both fractions already have a denominator of 4, so we can proceed to add the numerators.
Adding numerators: 3 + (-11) = -8
Therefore, the sum of p and q is -8/4.
Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
-8 ÷ 4 = -2
4 ÷ 4 = 1
Thus, the simplified fraction is -2/1.
In conclusion, the sum of p and q is -2/1, or simply -2.